{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e5400d22-9caa-4d45-bdba-cff7508e0afa",
   "metadata": {},
   "source": [
    "Ch15 NumPy常见基础运算\n",
    "# 习题答案\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "04fd0e9e-6957-439e-b28f-1be858dd08f1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "270293a7-577e-476f-9955-fcdb4fe755d8",
   "metadata": {},
   "source": [
    "# Q1\n",
    "$$ {\\displaystyle f(x)=a\\exp \\left(-{\\frac {(x-b)^{2}}{2c^{2}}}\\right)} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7ddfa5df-559a-4139-925b-0ae8817bbed7",
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 1\n",
    "b = 2\n",
    "c = 1\n",
    "x_array = np.linspace(-6,6,121)\n",
    "f_x_array = a * np.exp(-(x_array - b)**2/2/c**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b8140b6c-1314-4147-97e2-91fd5a53a9cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "ax.plot(x_array, f_x_array)\n",
    "\n",
    "ax.set_xlim(-5, 5)\n",
    "ax.set_ylim(0, f_x_array.max())    \n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('f(x)')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "38633807-6010-454e-86e5-e1dda6f54436",
   "metadata": {},
   "source": [
    "# Q2\n",
    "$$ {\\displaystyle f(x_1, x_2)=\\exp \\left(-x_1^2 - x_2^2\\right)} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0a7ea643-dc40-4e28-ae95-8e5ba8167a77",
   "metadata": {},
   "outputs": [],
   "source": [
    "x1_array = np.linspace(-3, 3, 301)\n",
    "x2_array = np.linspace(-3, 3, 301)\n",
    "xx1, xx2 = np.meshgrid(x1_array, x2_array)\n",
    "ff = np.exp(-xx1**2 - xx2**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "72a9d810-bbb7-4203-a064-925eb96e2aed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "\n",
    "# 绘制二元函数网格曲面\n",
    "ax.plot_wireframe(xx1, xx2, ff, rstride=10, cstride=10)\n",
    "ax.set_xlabel(r'$x_1$')\n",
    "ax.set_ylabel(r'$x_2$')\n",
    "ax.set_zlabel(r'$f(x_1, x_2)$')\n",
    "plt.tight_layout()\n",
    "ax.set_box_aspect(aspect=None, zoom=0.8)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "25b208f5-1dd1-4145-81d8-0c14cda7862c",
   "metadata": {},
   "source": [
    "# Q3\n",
    "$${\\displaystyle f(x,y)={\\frac {1}{2\\pi \\sigma _{X}\\sigma _{Y}{\\sqrt {1-\\rho ^{2}}}}}\\exp \\left(-{\\frac {1}{2(1-\\rho ^{2})}}\\left[\\left({\\frac {x-\\mu _{X}}{\\sigma _{X}}}\\right)^{2}-2\\rho \\left({\\frac {x-\\mu _{X}}{\\sigma _{X}}}\\right)\\left({\\frac {y-\\mu _{Y}}{\\sigma _{Y}}}\\right)+\\left({\\frac {y-\\mu _{Y}}{\\sigma _{Y}}}\\right)^{2}\\right]\\right)}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0d2b35a6-339a-4132-b008-f836428ca2ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "sigma_X = 1\n",
    "sigma_Y = 1\n",
    "rho_XY  = 0.6\n",
    "mu_X    = 0\n",
    "mu_Y    = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "15f6743a-9c07-44b7-98cb-56288a782130",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义一个函数\n",
    "\n",
    "def f_XY_PDF(xx1, xx2, sigma_X, sigma_Y, rho_XY, mu_X, mu_Y):\n",
    "    coeff = 2 * np.pi * sigma_X * sigma_Y * np.sqrt(1 - rho_XY**2)\n",
    "    coeff = 1/coeff\n",
    "    xx1_ = (xx1 - mu_X)/sigma_X\n",
    "    xx2_ = (xx2 - mu_Y)/sigma_Y\n",
    "    \n",
    "    ellipse = 1/(1 - rho_XY**2) * (xx1_**2 - 2*rho_XY*xx1_*xx2_ + xx2_**2)\n",
    "    PDF = coeff * np.exp(-1/2 * ellipse)\n",
    "    \n",
    "    return PDF\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3b315e1f-feeb-4686-929c-87c5934a470c",
   "metadata": {},
   "outputs": [],
   "source": [
    "PDF_ff = f_XY_PDF(xx1, xx2, sigma_X, sigma_Y, rho_XY, mu_X, mu_Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7bd365d2-f0af-4f91-b41a-478148c43abd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(4, 4))\n",
    "ax.contourf(xx1, xx2, PDF_ff)\n",
    "\n",
    "ax.set_xlim(-3, 3)\n",
    "ax.set_ylim(-3, 3)    \n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "plt.grid()\n",
    "ax.set_aspect('equal', adjustable='box')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
